 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Zhuravlev V.Ph. and Petrov A.G., "Analysis of the Action of Perturbations of Linear Resonant Systems with Two Degrees of Freedom," Mech. Solids. 56 (2), 171-178 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
2 |
Pages |
171-178 |
| DOI |
10.3103/S0025654421020163 |
| Title |
Analysis of the Action of Perturbations of Linear Resonant Systems with Two Degrees of Freedom |
| Author(s) |
Zhuravlev V.Ph. (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, zhurav@ipmnet.ru)
Petrov A.G. (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, petrovipmech@gmail.com) |
| Abstract |
A system with two degrees of freedom in the case of a double natural frequency is considered. The unperturbed system consists of two independent oscillators. The system coordinates describe an elliptical trajectory with four orbital elements. An analysis of the action of linear perturbations (forces) on the orbital elements is carried out. Perturbations are subdivided into six types of forces, and for each type of forces a system of differential equations for the orbital elements is obtained. For all six types of forces, a general solution of the system of differential equations in elementary functions is found. |
| Keywords |
resonant systems, two degrees of freedom, linear perturbations, evolution of an elliptical trajectory |
| Received |
12 March 2020 | Revised |
14 March 2020 | Accepted |
16 March 2020 |
| Link to Fulltext |
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